Properties

Label 16900.b
Number of curves $1$
Conductor $16900$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 16900.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16900.b1 16900p1 \([0, 0, 0, -714025, 232058125]\) \(1168128\) \(34464622962250000\) \([]\) \(299520\) \(2.1000\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16900.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16900.b do not have complex multiplication.

Modular form 16900.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{7} + 6 q^{9} + 5 q^{11} - 3 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display